We wish to estimate what percent of adult residents in

Gideon Oliver

Gideon Oliver

Answered question

2022-02-13

We wish to estimate what percent of adult residents in a certain county are parents. Out of 200 adult residents sampled, 176 had kids. Based on this, construct a 99% confidence interval for the proportion, p, of adult residents who are parents in this county.

Answer & Explanation

Detsavattpk9

Detsavattpk9

Beginner2022-02-14Added 10 answers

Hi! Here is solution of your problem


monogamab0f

monogamab0f

Beginner2022-02-15Added 9 answers

Total ault residents =200
Number that had kids =176
Point estimate =176200=0.88
E=Zscore×p(1p)n
E = margin error
Zscore=2.576,p=0.88,n=200
E=2.576×0.88(10.88)200
E=2.576×0.02298
E=0.0592
Confidence interval: (pE,p+E)
Confidence interval: (0.880.00592,0.88+0.00592)
Confidence interval: (0.8208,0.9392)
Confidence interval in tri-inequality from: 0.880.0592<p<0.88+0.0592
0.8208<p<0.9392
While the confidence interval using the point estimate 0.88 and margin of error:
p=0.88±0.0592

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